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Finding the Fourth Proportional to 152,409.80, 228,096.30 and 133,747.40

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Solution

The fourth proportional to 152,409.80, 228,096.30 and 133,747.40 is: 200,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409.80 : 228,096.30 = 133,747.40 : x
  2. Step 2: Convert to fraction form
    152,409.80/228,096.30 = 133,747.40/x
  3. Step 3: Cross multiply
    152,409.80x = 228,096.30 × 133,747.40
  4. Step 4: Simplify right side
    152,409.80x = 30,507,287,074.62
  5. Step 5: Solve for x
    x = 30,507,287,074.62/152,409.80
  6. Step 6: Final answer
    x = 200,166.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.